Hello there!
To find the increasing intervals for this graph just based on the equation, we should find the turning points first.
Take the derivative of f(x)...
f(x)=-x²+3x+8
f'(x)=-2x+3
Set f'(x) equal to 0...
0=-2x+3
-3=-2x
3/2=x
This means that the x-value of our turning point is 3/2. Now we need to analyze the equation to figure out the end behavior of this graph as x approaches infinity and negative infinity.
Since the leading coefficient is -1, as x approaches ∞, f(x) approaches -∞ Because the exponent of the leading term is even, the end behavior of f(x) as x approaches -∞ is also -∞.
This means that the interval by which this parabola is increasing is...
(-∞,3/2)
PLEASE DON'T include 3/2 on the increasing interval because it's a turning point. The slope of the tangent line to the turning point is 0 so the graph isn't increasing OR decreasing at this point.
I really hope this helps!
Best wishes :)
0.90 x 27 = 24.3
you can multiply or put it in a proportion
it is given in the question that
You order two tacos and a salad.the salad cost $2.50.you pay 8% sales tax and leave a $3 tip.
Let the price of taco be $ x .
And 8 % of 2.50 is
So the equation is
So the price of the Taco is $4.05 .
Let:
the ladder length = l
the distance from the wall and the ladder = x
cos (39) = x / l
x = l * cos (39) = 14 * cos (39) = 10.88 ft
Hope that helps
